Answer
See graph and explanations.
Work Step by Step
1. Given $y=-2-cot(x-\frac{\pi}{2})$, we have $ p=\pi, \phi=\frac{\pi}{2}$
2. Graph $y=cot(x)$ (blue), shift $\frac{\pi}{2}$ to the right, reflect around the x-axis, then shift 2 units down to get $y=-2-cot(x-\frac{\pi}{2})$ (red).